LCM of 347, 987, 105, 505, 211
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 987, 105, 505, 211 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 347, 987, 105, 505, 211. So, keep reading to learn more.
Given numbers are 347,987,105,505,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,987,105,505,211 is 36493915395.
Find LCM of 347,987,105,505,211 with Prime Factorization
| 3 | 347, 987, 105, 505, 211 |
| 5 | 347, 329, 35, 505, 211 |
| 7 | 347, 329, 7, 101, 211 |
| 347, 47, 1, 101, 211 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 347 x 47 x 1 x 101 x 211 = 36493915395
Therefore, the lowest common multiple of 347,987,105,505,211 is 36493915395.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
347 x 987 x 105 x 505 x 211 = 3831861116475
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
347 : 1, 347
987 : 1, 3, 7, 21, 47, 141, 329, 987
105 : 1, 3, 5, 7, 15, 21, 35, 105
505 : 1, 5, 101, 505
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,987,105,505,211, is 1.
Now, the common factors can be found like this.
347:347
987:3x 7x 47
105:3x 5x 7
505:5x 101
211:211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 3831861116475/(1x105)
LCM = 3831861116475/105
LCM = 36493915395
Thus, we can understand that the LCM of 347,987,105,505,211 is 36493915395.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 347, 987, 105, 505, 211
1. What is the LCM of 347, 987, 105, 505, 211?
Answer: LCM of 347, 987, 105, 505, 211 is 36493915395.
2. How to calculate the LCM of 347, 987, 105, 505, 211?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 347, 987, 105, 505, 211.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.